Spline collocation approach to study Brachistochrone problem

Abstract: In this paper authors discussed a problem of quickest descent, the Brachistochrone curve. Spline collocation method is used to solve the non-linear boundary value problem. The numerical results obtained are compared with the transformation method to show effectiveness and accuracy of this...

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Bibliographic Details
Authors: Shah,Pinky M.; Prajapati,Jyotindra C.
Format: Article
Status:Published version
Publication date:2019
Country:Chile
Institution:Agencia Nacional de Investigación y Desarrollo
Repository:SciELO Chile
Language:English
OAI Identifier:oai:scielo:S0716-09172019000200353
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200353
Access Level:Open access
Keyword:Brachistochrone
optimal control
nonlinear problema
Spline collocation method.
Description
Summary:Abstract: In this paper authors discussed a problem of quickest descent, the Brachistochrone curve. Spline collocation method is used to solve the non-linear boundary value problem. The numerical results obtained are compared with the transformation method to show effectiveness and accuracy of this method.